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Finding the Fourth Proportional to 2,606.90, 3,909.39 and 963.02

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Solution

The fourth proportional to 2,606.90, 3,909.39 and 963.02 is: 1,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.90 : 3,909.39 = 963.02 : x
  2. Step 2: Convert to fraction form
    2,606.90/3,909.39 = 963.02/x
  3. Step 3: Cross multiply
    2,606.90x = 3,909.39 × 963.02
  4. Step 4: Simplify right side
    2,606.90x = 3,764,820.76
  5. Step 5: Solve for x
    x = 3,764,820.76/2,606.90
  6. Step 6: Final answer
    x = 1,444.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.